Hostname: page-component-586b7cd67f-dsjbd Total loading time: 0 Render date: 2024-11-27T22:21:39.578Z Has data issue: false hasContentIssue false
  • English
  • Français

AUTOMORPHISM GROUPS OF RIEMANN SURFACES OF GENUS p+1, WHERE p IS PRIME

Published online by Cambridge University Press:  27 July 2005

MIKHAIL BELOLIPETSKY  and
GARETH A. JONES
MIKHAIL BELOLIPETSKY
Affiliation:
Sobolev Institute of Mathematics, Koptyuga 4, 630090 Novosibirsk, Russia, and Einstein Institute of Mathematics, Hebrew University, Jerusalem 91904, Israel e-mail: [email protected]
GARETH A. JONES
Affiliation:
School of Mathematics, University of Southampton, Southampton SO17 1BJ, United Kingdom e-mail: [email protected]
Rights & Permissions [Opens in a new window]

Abstract

Core share and HTML view are not available for this content. However, as you have access to this content, a full PDF is available via the ‘Save PDF’ action button.

We show that if $\mathcal S$ is a compact Riemann surface of genus $g=p+1$, where $p$ is prime, with a group of automorphisms $G$ such that $|G|\geq\lambda(g-1)$ for some real number $\lambda>6$, then for all sufficiently large $p$ (depending on $\lambda$), $\mathcal S$ and $G$ lie in one of six infinite sequences of examples. In particular, if $\lambda=8$ then this holds for all $p\geq 17$.

Keywords

Primary 30F35Secondary 20F34
Type
Research Article
Information
Glasgow Mathematical Journal , Volume 47 , Issue 2 , May 2005 , pp. 379 - 393
Copyright
2005 Glasgow Mathematical Journal Trust